



'''simple docstring'''






def  lowerCamelCase__			(		_A							):
  a		:   str	  =	len(_A							)
  a		:   Any	  =	len(matrix[0]							)
  a		:   Optional[Any]	  =	min(_A					,     _A							)

  for row in range(_A							):
    # Check if diagonal element is not zero
    if matrix[row][row] != 0:
      # Eliminate all the elements below the diagonal
      for col in range(row + 1					,     _A							):
        a		:   Optional[Any]	  =	matrix[col][row] / matrix[row][row]
        for i in range(_A					,     _A							):
          matrix[col][i] -= multiplier * matrix[row][i]
    else:
      # Find a non-zero diagonal element to swap rows
      a		:   List[Any]	  =	True
      for i in range(row + 1					,     _A							):
        if matrix[i][row] != 0:
          a  ,      a		:   str	  =	matrix[i], matrix[row]
          a		:   int	  =	False
          break
      if reduce:
        rank -= 1
        for i in range(_A							):
          a		:   Optional[int]	  =	matrix[i][rank]

            # Reduce the row pointer by one to stay on the same row
      row -= 1

  return rank


if __name__ == "__main__":
     import doctest

     doctest.testmod()




'''simple docstring'''






from typing import TYPE_CHECKING

from ...utils import (
    OptionalDependencyNotAvailable,
    _LazyModule,
    is_torch_available,
)


lowerCAmelCase:   List[str]					=		{
    'configuration_falcon': ['FALCON_PRETRAINED_CONFIG_ARCHIVE_MAP', 'FalconConfig'],
}

try:
     if not is_torch_available():
          raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
     pass
else:
     lowerCAmelCase:   str					=		[
         'FALCON_PRETRAINED_MODEL_ARCHIVE_LIST',
         'FalconForCausalLM',
         'FalconModel',
         'FalconPreTrainedModel',
         'FalconForSequenceClassification',
         'FalconForTokenClassification',
         'FalconForQuestionAnswering',
     ]


if TYPE_CHECKING:
     from .configuration_falcon import FALCON_PRETRAINED_CONFIG_ARCHIVE_MAP, FalconConfig

     try:
          if not is_torch_available():
               raise OptionalDependencyNotAvailable()
     except OptionalDependencyNotAvailable:
          pass
     else:
          from .modeling_falcon import (
              FALCON_PRETRAINED_MODEL_ARCHIVE_LIST,
              FalconForCausalLM,
              FalconForQuestionAnswering,
              FalconForSequenceClassification,
              FalconForTokenClassification,
              FalconModel,
              FalconPreTrainedModel,
          )


else:
     import sys

     lowerCAmelCase:   Optional[int]					=		_LazyModule(__name__, globals()['__file__'], _import_structure, module_spec=__spec__)